101110001101000 has 128 divisors (see below), whose sum is σ = 238792843317600. Its totient is φ = 40068788659200.

The previous prime is 101110001100991. The next prime is 101110001101001. The reversal of 101110001101000 is 101100011101.

It is a happy number.

101110001101000 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 16 ways, for example, as 31907201633316 + 69202799467684 = 5648646^2 + 8318822^2 .

It is not an unprimeable number, because it can be changed into a prime (101110001101001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1181190202 + ... + 1181275798.

Almost surely, 2^{101110001101000} is an apocalyptic number.

101110001101000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101110001101000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119396421658800).

101110001101000 is an abundant number, since it is smaller than the sum of its proper divisors (137682842216600).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

101110001101000 is a wasteful number, since it uses less digits than its factorization.

101110001101000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96564 (or 96550 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 7.

Adding to 101110001101000 its reverse (101100011101), we get a palindrome (101211101112101).

The spelling of 101110001101000 in words is "one hundred one trillion, one hundred ten billion, one million, one hundred one thousand".